Question

- Suppose y varies directly as x. If y = -7 when x = -14, find x when y = 10.​

Answer 1

`x=20`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

in this problem

For x=-14, y=-7

Find the value of the constant of proportionality k

`k=y/x`

substitute

`k=-7/-14=0.5`

so

The linear equation is

`y=0.5x`

Find x when the value of y=10

substitute the value of y in the equation

`10=0.5x`

solve for x

Multiply by 2 both sides

`x=20`